the volume of a cone is 500 cm^3 and the height is approximately 13.5 cm, what is the approximate radius of the cone?
To find the radius of the cone, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Given that the volume of the cone is 500 cm^3 and the height is 13.5 cm, we can plug these values into the formula and solve for the radius (r).
500 = (1/3) * π * r^2 * 13.5
r^2 = (3 * 500) / (π * 13.5)
r^2 = 111.11
r ≈ √111.11
r ≈ 10.54
Therefore, the approximate radius of the cone is 10.54 cm.